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2014 / December Volume 9 No.4
Notes on Density of the Ordinary Locus
Published Date
2014 / December
Title
Notes on Density of the Ordinary Locus
Author
Chia-Fu Yu
Keyword
ordinary locus, PEL-type Shimura varieties, Hilbert-Siegel moduli spaces, KR stratication
Download
Download PDF
Pagination
711-734
Abstract
The present are the notes for the author's talk given in the Conference on Diophantine Problems and Arithmetic Dynamics held at Academia Sinica, Taipei, June 24-28, 2013. The purposes are two-folds. The first is to introduce some background on the problem of density of the ordinary locus of the modulo p of certain Shimura varieties. The second aim is to show new results about the ordinary locus in reduction modulo p of the Hilbert-Siegel moduli spaces. This is a survey article of the current status of the aforementioned problem.
AMS Subject
Classification
14G35,11G18
Received
2014-07-28
Accepted
2014-07-28
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